English

Large deviation principle for white noise SPDEs with oblique reflection

Probability 2023-04-03 v1

Abstract

In this paper, we consider Fredlin-Wentzell type large deviation principle (LDP) of multidimensional reflected stochastic partial differential equations in a convex domain, allowing for oblique direction of reflection. To prove the LDP, a sufficient condition for the weak convergence method and penalized method plays an important role.

Keywords

Cite

@article{arxiv.2303.17851,
  title  = {Large deviation principle for white noise SPDEs with oblique reflection},
  author = {Hong Shaopeng and Liu Xiangdong},
  journal= {arXiv preprint arXiv:2303.17851},
  year   = {2023}
}

Comments

21 pages

R2 v1 2026-06-28T09:42:34.957Z